Choose the equation that could be used to find three consecutive integers whose sum is 99

3 answers

What are your choices? What is your answer?
a = first number

b = a + 1 = second number

c = b + 1 = a + 1 + 1 = a + 2 third number

a + b + c = 99

a + a + 1 + a + 2 = 99

3 a + 3 = 99 Subtract 3 to both sides

3 a + 3 - 3 = 99 - 3

3 a = 96 Divide both sides by 3

a = 32

a = first number = 32

b =second number = 32 + 1 = 33

c =third number = 32 + 2 = 34

a + b + c = 32 + 33 + 34 = 99
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